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Finding the Third Proportional to 54,589.50 and 82,201.50

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Solution

The third proportional to 54,589.50 and 82,201.50 is: 123,779.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,589.50 : 82,201.50 = 82,201.50 : x
  2. Step 2: Convert to fraction form
    54,589.50/82,201.50 = 82,201.50/x
  3. Step 3: Cross multiply
    54,589.50x = 82,201.50 × 82,201.50
  4. Step 4: Simplify right side
    54,589.50x = 6,757,086,602.25
  5. Step 5: Solve for x
    x = 6,757,086,602.25/54,589.50
  6. Step 6: Final answer
    x = 123,779.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.